Quasiamicable Numbers/Examples/140,195

Examples of Quasiamicable Pair

$140$ and $195$ form a quasiamicable pair.

Proof

\(\ds \map {\sigma_1} {140}\)

\(=\)

\(\ds 336\)

$\sigma_1$ of $140$

\(\ds \map {\sigma_1} {195}\)

\(=\)

\(\ds 336\)

$\sigma_1$ of $195$

\(\ds 140 + 195 + 1\)

\(=\)

\(\ds 336\)

Hence the result by definition of quasiamicable pair.

$\blacksquare$

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $140$